Erdős–Diophantine graph

The Erdős–Diophantine graph is a concept in graph theory that arises in connection with number theory and combinatorics, particularly focusing on the relationships defined by some Diophantine properties. In this setting, the vertices of the graph typically represent natural numbers or integers, and edges are drawn based on a specific Diophantine condition. The most common version of the Erdős–Diophantine graph considers pairs of integers that satisfy a particular equation or set of equations.